Description
Second order linear differential equations are widely used in science and engineering fields, for example in the spring-mass system and RLC series circuit. In this course, students will learn to solve the homogeneous equations with constant coefficients. In particular, we will solve the homogeneous equations where their characteristic equations may have real and distinct roots, real and repeated roots or complex conjugate roots. Subsequently, solving the nonhomogeneous equations with constant coefficients is the second topic of the course. Here, students will learn to solve the nonhomogeneous equations with constant coefficients by using the methods of undetermined coefficients and variation of parameters.
Micro Learning Outcomes
Upon completion of this course, students should be able to:
i. find the solution for homogeneous equations
ii. find the solution for nonhomogeneous equations by using the undetermined coefficients method
iii. find the solution for nonhomogeneous equations by using the variation of parameters method
Recognition
Second Order Linear Differential Equations
Instructor
KHOO CHIN FOON
Instructor at UcredsHi! I am Khoo, the instructor for this course. I have earned my PhD in mathematics from the Australian National University in 2013. Currently I am a senior lecturer in Universiti Teknikal Malaysia Melaka, where I used to teach subjects of Differential Equations, Engineering Mathematics, Statistics and Numerical Methods to the engineering students. In recent years, I have explored in open learning, e.g. preparing the materials for OCW and Mooc. Let's enjoy the learning journey in UCreds.
8 Students
5 Courses
RAHIFA BINTI RANOM
Instructor at UCredsHello there! I am Dr. Rahifa, a Mathematics lecturer at Fakulti Teknologi dan Kejuruteraan Elektrik, Universiti Teknikal Malaysia Melaka. I have more than 10 years of teaching mathematics experience for more than 2000 engineering students. Courses that have been taught include Differential Equations, Engineering Mathematics, Numerical Methods and Statistics. I obtained my PhD degree in Applied Mathematics from University of Southampton, UK in 2015. Let's have some fun learning Mathematics in UCreds.
8 Students
5 Courses
IRMA WANI BINTI JAMALUDIN
Instructor at UCredsirma@utem.edu.my
Hello everyone! I'm Irma, your instructor for this course and I can't wait to learn with all of you. Currently, I am teaching mathematics courses (Algebra, Calculus, Differential Equations, Engineering Mathematics) to engineering students at Universiti Teknikal Malaysia Melaka.
8 Students
5 Courses
LOH SER LEE
Instructor at UCredsHi there, I'm Loh! I am a UCreds Instructor and I specialize in mathematics. I am currently teaching mathematics (Engineering Math, Differential Equations etc.) to students at Universiti Teknikal Malaysia Melaka and now put my efforts into providing an outstanding learning experience to students around the world on UCreds.
8 Students
5 Courses
SUHAILA BINTI SALLEH
Instructor at UCredsHello everyone! I’m Suhaila and an instructor for this course. I have a first degree in Mathematics from the University of Wales College of Cardiff and pursued my doctoral training in Corrosion Science and Engineering at the University of Manchester, United Kingdom. I am currently teaching Engineering Mathematics for undergraduate engineering students and Numerical Analysis for postgraduate level at the Universiti Teknikal Malaysia Melaka. I can’t wait to learn with all of you and now, let’s enjoy the learning experience!
8 Students
5 Courses